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1/3 The integral fo²³ 3-√2-9x1² dx is to be evaluated 0 directly and using series approximation. 1) Evaluate the integral exactly using a substitution in the form xx= sino and identify cos²x = 2 (2+10s 2x) 2 х (b) Find the maclaurin series expansion of the integrand as far as terms un xo. Give the coefficient of n²4 in your expansion (c) Integrate the terms of your expansion and evaluate to get can approximate value for untegral

1/3 The integral fo²³ 3-√2-9x1² dx is to be evaluated 0 directly and using series approximation. 1) Evaluate the integral exactly using a substitution in the form xx= sino and identify cos²x = 2 (2+10s 2x) 2 х (b) Find the maclaurin series expansion of the integrand as far as terms un xo. Give the coefficient of n²4 in your expansion (c) Integrate the terms of your expansion and evaluate to get can approximate value for untegral

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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1/3 The integral fo ²³ 3 √2-9x² dx is to be evaluated directly and using series approximation. (a) Evaluate the integral exactly using a substitution in the form xx = sino and identify cos2x = 2 (2+ was 2n) 2 (b) Find the madaurin iseries expansion of the integrand as far as terms in no. Give the coefficient of n²4 in your expansion (0) Integrate the terms of your expansion and evaluate to get can approximate value for untegral (d) Grive percentage error in your approximation.
Transcribed Image Text:1/3 The integral fo ²³ 3 √2-9x² dx is to be evaluated directly and using series approximation. (a) Evaluate the integral exactly using a substitution in the form xx = sino and identify cos2x = 2 (2+ was 2n) 2 (b) Find the madaurin iseries expansion of the integrand as far as terms in no. Give the coefficient of n²4 in your expansion (0) Integrate the terms of your expansion and evaluate to get can approximate value for untegral (d) Grive percentage error in your approximation.
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